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Elliptic-curve cryptography - Wikipedia Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields ECC allows smaller keys to provide equivalent security, compared to cryptosystems based on modular exponentiation in finite fields, such as the RSA cryptosystem and ElGamal cryptosystem [1] Elliptic curves are applicable for key agreement, digital
Elliptic Curve Digital Signature Algorithm - Wikipedia In cryptography, the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic-curve cryptography
Elliptic-curve Diffie–Hellman - Wikipedia Elliptic-curve Diffie–Hellman (ECDH) is a key agreement protocol that allows two parties, each having an elliptic-curve public–private key pair, to establish a shared secret over an insecure channel [1][2][3] This shared secret may be directly used as a key, or to derive another key
Edwards curve - Wikipedia Edwards curves of equation x2 + y2 = 1 + d · x2 · y2 over the real numbers for d = −300 (red), d = − √ 8 (yellow) and d = 0 9 (blue) In mathematics, the Edwards curves are a family of elliptic curves studied by Harold Edwards in 2007 The concept of elliptic curves over finite fields is widely used in elliptic curve cryptography Applications of Edwards curves to cryptography were
Curve25519 - Wikipedia Curve25519 In cryptography, Curve25519 is an elliptic curve used in elliptic-curve cryptography (ECC) offering 128 bits of security (256-bit key size) and designed for use with the Elliptic-curve Diffie–Hellman (ECDH) key agreement scheme, first described and implemented by Daniel J Bernstein
Elliptic curve point multiplication - Wikipedia Elliptic curve scalar multiplication is the operation of successively adding a point along an elliptic curve to itself repeatedly It is used in elliptic curve cryptography (ECC) The literature presents this operation as scalar multiplication, as written in Hessian form of an elliptic curve A widespread name for this operation is also elliptic curve point multiplication, but this can convey
Integrated Encryption Scheme - Wikipedia References SECG, Standards for efficient cryptography, SEC 1: Elliptic Curve Cryptography, Version 2 0, May 21, 2009 Gayoso Martínez, Hernández Encinas, Sánchez Ávila: A Survey of the Elliptic Curve Integrated Encryption Scheme, Journal of Computer Science and Engineering, 2, 2 (2010), 7–13
Elliptic curve - Wikipedia Elliptic curves are especially important in number theory, and constitute a major area of current research; for example, they were used in Andrew Wiles's proof of Fermat's Last Theorem They also find applications in elliptic curve cryptography (ECC) and integer factorization
Category:Elliptic curve cryptography - Wikipedia Pages in category "Elliptic curve cryptography" The following 34 pages are in this category, out of 34 total This list may not reflect recent changes
Twisted Edwards curve - Wikipedia A twisted Edwards curve of equation In algebraic geometry, the twisted Edwards curves are plane models of elliptic curves, a generalisation of Edwards curves introduced by Bernstein, Birkner, Joye, Lange and Peters in 2008 [1] The curve set is named after mathematician Harold M Edwards Elliptic curves are important in public key cryptography and twisted Edwards curves are at the heart of an